Time-reversal symmetry breaking phase in the Hubbard model: A variational cluster approach study

2011/12/20 by Xiancong Lu, L. Chioncel, Liviu Chioncel +1 · 8 citations
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Cluster (spacecraft) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Geometry #Hubbard model #Iron-based superconductors research #Mathematics #Metastability #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #Symmetry (geometry) #Symmetry breaking #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.85.125117

published in Physical Review B 85(12) (American Physical Society) · 9 pages,8 figures

arxiv created 2011/12/20 · openalex publication_date 2012/03/19 · openalex created_date 2016/06/24 · arxiv updated 2020/08/04 · openalex updated_date 2026/08/05

Abstract

We study the stability of the time-reversal symmetry breaking staggered-flux phase of a single band Hubbard model, within the variational cluster approach. For intermediate and small values of the interaction U, we find metastable solutions for the staggered-flux phase, with a maximum current per bond at U\ensuremath≈3.2. However, allowing for antiferromagnetic and superconducting long-range order it turns out that in the region at and close to half filling the antiferromagnetic phase is the most favorable energetically. The effect of nearest-neighbor interaction is also considered. Our results show that a negative nearest-neighbor interaction and finite doping favors the stability of the staggered-flux phase. We also present preliminary results for the three-band Hubbard model obtained with a restricted set of variational parameters. For this case, no spontaneous time-reversal symmetry breaking phase is found in our calculations.

Citations

• Absence of thed-density-wave state from the two-dimensional Hubbard model
• Nearest-neighbor attraction stabilizes staggered currents in the two-dimensional Hubbard model
• Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T-violating orbital current phase
• Staggered orbital currents in the half-filled two-leg ladder
• Competition between Antiferromagnetism and Superconductivity in High-TcCuprates
• Rung-rung current correlations on a 2-legt−Jladder
• Spectral Weight of the Hubbard Model through Cluster Perturbation Theory
• Orbital Currents in Extended Hubbard Models of High-TcCuprate Superconductors
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Self-energy-functional approach to systems of correlated electrons